///////////////////////////////////////////////////////////////
//  Copyright 2012 John Maddock. Distributed under the Boost
//  Software License, Version 1.0. (See accompanying file
//  LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt

//
// Compare arithmetic results using fixed_int to GMP results.
//

#ifdef _MSC_VER
#define _SCL_SECURE_NO_WARNINGS
#endif

//
// This ensures all our code gets tested, even though it may
// not be the fastest configuration in normal use:
//
#define BOOST_MP_USE_LIMB_SHIFT

#include <nil/crypto3/multiprecision/gmp.hpp>
#include <nil/crypto3/multiprecision/cpp_int.hpp>
#include <boost/random/mersenne_twister.hpp>
#include <boost/random/uniform_int.hpp>
#include "timer.hpp"
#include "test.hpp"

#ifdef _MSC_VER
#pragma warning(disable : 4127)    //  Conditional expression is constant
#endif

#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3) && !defined(TEST4) && !defined(TEST5) && !defined(TEST6)
#define TEST1
#define TEST2
#define TEST3
#define TEST4
#define TEST5
#define TEST6
#endif

template<class T>
T generate_random(unsigned bits_wanted) {
    static boost::random::mt19937 gen;
    typedef boost::random::mt19937::result_type random_type;

    T max_val;
    unsigned digits;
    if (std::numeric_limits<T>::is_bounded && (bits_wanted == (unsigned)std::numeric_limits<T>::digits)) {
        max_val = (std::numeric_limits<T>::max)();
        digits = std::numeric_limits<T>::digits;
    } else {
        max_val = T(1) << bits_wanted;
        digits = bits_wanted;
    }

    unsigned bits_per_r_val = std::numeric_limits<random_type>::digits - 1;
    while ((random_type(1) << bits_per_r_val) > (gen.max)())
        --bits_per_r_val;

    unsigned terms_needed = digits / bits_per_r_val + 1;

    T val = 0;
    for (unsigned i = 0; i < terms_needed; ++i) {
        val *= (gen.max)();
        val += gen();
    }
    val %= max_val;
    return val;
}

template<class T>
struct is_checked_cpp_int : public boost::mpl::false_ { };
template<unsigned MinBits, unsigned MaxBits, nil::crypto3::multiprecision::cpp_integer_type SignType, class Allocator,
         nil::crypto3::multiprecision::expression_template_option ET>
struct is_checked_cpp_int<nil::crypto3::multiprecision::number<
    nil::crypto3::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, nil::crypto3::multiprecision::checked,
                                                  Allocator>,
    ET>> : public boost::mpl::true_ { };

template<class Number>
struct tester {
    typedef Number test_type;
    typedef typename test_type::backend_type::checked_type checked;

    unsigned last_error_count;
    timer tim;

    nil::crypto3::multiprecision::mpz_int a, b, c, d;
    int si;
    unsigned ui;
    nil::crypto3::multiprecision::double_limb_type large_ui;
    test_type a1, b1, c1, d1;

    void t1() {
        using namespace nil::crypto3::multiprecision;
        BOOST_CHECK_EQUAL(a.str(), a1.str());
        BOOST_CHECK_EQUAL(b.str(), b1.str());
        BOOST_CHECK_EQUAL(c.str(), c1.str());
        BOOST_CHECK_EQUAL(d.str(), d1.str());
        BOOST_CHECK_EQUAL(mpz_int(a + b).str(), test_type(a1 + b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) += b).str(), (test_type(a1) += b1).str());
        BOOST_CHECK_EQUAL((mpz_int(b) += a).str(), (test_type(b1) += a1).str());
        BOOST_CHECK_EQUAL(mpz_int(a - b).str(), test_type(a1 - b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) -= b).str(), (test_type(a1) -= b1).str());
        BOOST_CHECK_EQUAL(mpz_int(mpz_int(-a) + b).str(), test_type(test_type(-a1) + b1).str());
        BOOST_CHECK_EQUAL(mpz_int(mpz_int(-a) - b).str(), test_type(test_type(-a1) - b1).str());
        BOOST_CHECK_EQUAL(mpz_int(c * d).str(), test_type(c1 * d1).str());
        BOOST_CHECK_EQUAL((mpz_int(c) *= d).str(), (test_type(c1) *= d1).str());
        BOOST_CHECK_EQUAL((mpz_int(d) *= c).str(), (test_type(d1) *= c1).str());
        BOOST_CHECK_EQUAL(mpz_int(c * -d).str(), test_type(c1 * -d1).str());
        BOOST_CHECK_EQUAL(mpz_int(-c * d).str(), test_type(-c1 * d1).str());
        BOOST_CHECK_EQUAL((mpz_int(c) *= -d).str(), (test_type(c1) *= -d1).str());
        BOOST_CHECK_EQUAL((mpz_int(-d) *= c).str(), (test_type(-d1) *= c1).str());
        BOOST_CHECK_EQUAL(mpz_int(b * c).str(), test_type(b1 * c1).str());
        BOOST_CHECK_EQUAL(mpz_int(a / b).str(), test_type(a1 / b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) /= b).str(), (test_type(a1) /= b1).str());
        BOOST_CHECK_EQUAL(mpz_int(a / -b).str(), test_type(a1 / -b1).str());
        BOOST_CHECK_EQUAL(mpz_int(-a / b).str(), test_type(-a1 / b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) /= -b).str(), (test_type(a1) /= -b1).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) /= b).str(), (test_type(-a1) /= b1).str());
        BOOST_CHECK_EQUAL(mpz_int(a / d).str(), test_type(a1 / d1).str());
        BOOST_CHECK_EQUAL(mpz_int(a % b).str(), test_type(a1 % b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) %= b).str(), (test_type(a1) %= b1).str());
        BOOST_CHECK_EQUAL(mpz_int(a % -b).str(), test_type(a1 % -b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) %= -b).str(), (test_type(a1) %= -b1).str());
        BOOST_CHECK_EQUAL(mpz_int(-a % b).str(), test_type(-a1 % b1).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) %= b).str(), (test_type(-a1) %= b1).str());
        BOOST_CHECK_EQUAL(mpz_int(a % d).str(), test_type(a1 % d1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) %= d).str(), (test_type(a1) %= d1).str());

        if (!std::numeric_limits<test_type>::is_bounded) {
            test_type p = a1 * b1;
            test_type r;
            divide_qr(p, b1, p, r);
            BOOST_CHECK_EQUAL(p, a1);
            BOOST_CHECK_EQUAL(r, test_type(0));

            p = a1 * d1;
            divide_qr(p, d1, p, r);
            BOOST_CHECK_EQUAL(p, a1);
            BOOST_CHECK_EQUAL(r, test_type(0));

            divide_qr(p, test_type(1), p, r);
            BOOST_CHECK_EQUAL(p, a1);
            BOOST_CHECK_EQUAL(r, test_type(0));
        }
    }

    void t2() {
        using namespace nil::crypto3::multiprecision;
        // bitwise ops:
        BOOST_CHECK_EQUAL(mpz_int(a | b).str(), test_type(a1 | b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) |= b).str(), (test_type(a1) |= b1).str());
        if (!is_checked_cpp_int<test_type>::value) {
            BOOST_CHECK_EQUAL(mpz_int(-a | b).str(), test_type(-a1 | b1).str());
            BOOST_CHECK_EQUAL((mpz_int(-a) |= b).str(), (test_type(-a1) |= b1).str());
            BOOST_CHECK_EQUAL(mpz_int(a | -b).str(), test_type(a1 | -b1).str());
            BOOST_CHECK_EQUAL((mpz_int(a) |= -b).str(), (test_type(a1) |= -b1).str());
            BOOST_CHECK_EQUAL(mpz_int(-a | -b).str(), test_type(-a1 | -b1).str());
            BOOST_CHECK_EQUAL((mpz_int(-a) |= -b).str(), (test_type(-a1) |= -b1).str());
        }
        BOOST_CHECK_EQUAL(mpz_int(a & b).str(), test_type(a1 & b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) &= b).str(), (test_type(a1) &= b1).str());
        if (!is_checked_cpp_int<test_type>::value) {
            BOOST_CHECK_EQUAL(mpz_int(-a & b).str(), test_type(-a1 & b1).str());
            BOOST_CHECK_EQUAL((mpz_int(-a) &= b).str(), (test_type(-a1) &= b1).str());
            BOOST_CHECK_EQUAL(mpz_int(a & -b).str(), test_type(a1 & -b1).str());
            BOOST_CHECK_EQUAL((mpz_int(a) &= -b).str(), (test_type(a1) &= -b1).str());
            BOOST_CHECK_EQUAL(mpz_int(-a & -b).str(), test_type(-a1 & -b1).str());
            BOOST_CHECK_EQUAL((mpz_int(-a) &= -b).str(), (test_type(-a1) &= -b1).str());
        }
        BOOST_CHECK_EQUAL(mpz_int(a ^ b).str(), test_type(a1 ^ b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) ^= b).str(), (test_type(a1) ^= b1).str());
        if (!is_checked_cpp_int<test_type>::value) {
            BOOST_CHECK_EQUAL(mpz_int(-a ^ b).str(), test_type(-a1 ^ b1).str());
            BOOST_CHECK_EQUAL((mpz_int(-a) ^= b).str(), (test_type(-a1) ^= b1).str());
            BOOST_CHECK_EQUAL(mpz_int(a ^ -b).str(), test_type(a1 ^ -b1).str());
            BOOST_CHECK_EQUAL((mpz_int(a) ^= -b).str(), (test_type(a1) ^= -b1).str());
            BOOST_CHECK_EQUAL(mpz_int(-a ^ -b).str(), test_type(-a1 ^ -b1).str());
            BOOST_CHECK_EQUAL((mpz_int(-a) ^= -b).str(), (test_type(-a1) ^= -b1).str());
        }
        // Shift ops:
        for (unsigned i = 0; i < 128; ++i) {
            if (!std::numeric_limits<test_type>::is_bounded) {
                BOOST_CHECK_EQUAL(mpz_int(a << i).str(), test_type(a1 << i).str());
                BOOST_CHECK_EQUAL(mpz_int(-a << i).str(), test_type(-a1 << i).str());
            } else if (!is_checked_cpp_int<test_type>::value) {
                test_type t1(mpz_int(a << i).str());
                test_type t2 = a1 << i;
                BOOST_CHECK_EQUAL(t1, t2);
                t1 = test_type(mpz_int(-a << i).str());
                t2 = -a1 << i;
                BOOST_CHECK_EQUAL(t1, t2);
            }
            BOOST_CHECK_EQUAL(mpz_int(a >> i).str(), test_type(a1 >> i).str());
            if (!is_checked_cpp_int<test_type>::value) {
                BOOST_CHECK_EQUAL(mpz_int(-a >> i).str(), test_type(-a1 >> i).str());
            }
        }
        // gcd/lcm
        BOOST_CHECK_EQUAL(mpz_int(gcd(a, b)).str(), test_type(gcd(a1, b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(c, d)).str(), test_type(lcm(c1, d1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(-a, b)).str(), test_type(gcd(-a1, b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(-c, d)).str(), test_type(lcm(-c1, d1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(-a, -b)).str(), test_type(gcd(-a1, -b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(-c, -d)).str(), test_type(lcm(-c1, -d1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(a, -b)).str(), test_type(gcd(a1, -b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(-a, -b)).str(), test_type(gcd(-a1, -b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(c, -d)).str(), test_type(lcm(c1, -d1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(-c, -d)).str(), test_type(lcm(-c1, -d1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(mpz_int(0), b)).str(), test_type(gcd(test_type(0), b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(mpz_int(0), -b)).str(), test_type(gcd(test_type(0), -b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(a, mpz_int(0))).str(), test_type(gcd(a1, test_type(0))).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(-a, mpz_int(0))).str(), test_type(gcd(a1, test_type(0))).str());
        // Integer sqrt:
        mpz_int r;
        test_type r1;
        BOOST_CHECK_EQUAL(sqrt(a, r).str(), sqrt(a1, r1).str());
        BOOST_CHECK_EQUAL(r.str(), r1.str());
    }

    void t3() {
        using namespace nil::crypto3::multiprecision;
        // Now check operations involving signed integers:
        BOOST_CHECK_EQUAL(mpz_int(a + si).str(), test_type(a1 + si).str());
        BOOST_CHECK_EQUAL(mpz_int(a + -si).str(), test_type(a1 + -si).str());
        BOOST_CHECK_EQUAL(mpz_int(-a + si).str(), test_type(-a1 + si).str());
        BOOST_CHECK_EQUAL(mpz_int(si + a).str(), test_type(si + a1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) += si).str(), (test_type(a1) += si).str());
        BOOST_CHECK_EQUAL((mpz_int(a) += -si).str(), (test_type(a1) += -si).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) += si).str(), (test_type(-a1) += si).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) += -si).str(), (test_type(-a1) += -si).str());
        BOOST_CHECK_EQUAL(mpz_int(a - si).str(), test_type(a1 - si).str());
        BOOST_CHECK_EQUAL(mpz_int(a - -si).str(), test_type(a1 - -si).str());
        BOOST_CHECK_EQUAL(mpz_int(-a - si).str(), test_type(-a1 - si).str());
        BOOST_CHECK_EQUAL(mpz_int(si - a).str(), test_type(si - a1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) -= si).str(), (test_type(a1) -= si).str());
        BOOST_CHECK_EQUAL((mpz_int(a) -= -si).str(), (test_type(a1) -= -si).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) -= si).str(), (test_type(-a1) -= si).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) -= -si).str(), (test_type(-a1) -= -si).str());
        BOOST_CHECK_EQUAL(mpz_int(b * si).str(), test_type(b1 * si).str());
        BOOST_CHECK_EQUAL(mpz_int(b * -si).str(), test_type(b1 * -si).str());
        BOOST_CHECK_EQUAL(mpz_int(-b * si).str(), test_type(-b1 * si).str());
        BOOST_CHECK_EQUAL(mpz_int(si * b).str(), test_type(si * b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) *= si).str(), (test_type(a1) *= si).str());
        BOOST_CHECK_EQUAL((mpz_int(a) *= -si).str(), (test_type(a1) *= -si).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) *= si).str(), (test_type(-a1) *= si).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) *= -si).str(), (test_type(-a1) *= -si).str());
        BOOST_CHECK_EQUAL(mpz_int(a / si).str(), test_type(a1 / si).str());
        BOOST_CHECK_EQUAL(mpz_int(a / -si).str(), test_type(a1 / -si).str());
        BOOST_CHECK_EQUAL(mpz_int(-a / si).str(), test_type(-a1 / si).str());
        BOOST_CHECK_EQUAL((mpz_int(a) /= si).str(), (test_type(a1) /= si).str());
        BOOST_CHECK_EQUAL((mpz_int(a) /= -si).str(), (test_type(a1) /= -si).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) /= si).str(), (test_type(-a1) /= si).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) /= -si).str(), (test_type(-a1) /= -si).str());
        BOOST_CHECK_EQUAL(mpz_int(a % si).str(), test_type(a1 % si).str());
        BOOST_CHECK_EQUAL(mpz_int(a % -si).str(), test_type(a1 % -si).str());
        BOOST_CHECK_EQUAL(mpz_int(-a % si).str(), test_type(-a1 % si).str());
        BOOST_CHECK_EQUAL((mpz_int(a) %= si).str(), (test_type(a1) %= si).str());
        BOOST_CHECK_EQUAL((mpz_int(a) %= -si).str(), (test_type(a1) %= -si).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) %= si).str(), (test_type(-a1) %= si).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) %= -si).str(), (test_type(-a1) %= -si).str());
        if ((si > 0) || !is_checked_cpp_int<test_type>::value) {
            BOOST_CHECK_EQUAL(mpz_int(a | si).str(), test_type(a1 | si).str());
            BOOST_CHECK_EQUAL((mpz_int(a) |= si).str(), (test_type(a1) |= si).str());
            BOOST_CHECK_EQUAL(mpz_int(a & si).str(), test_type(a1 & si).str());
            BOOST_CHECK_EQUAL((mpz_int(a) &= si).str(), (test_type(a1) &= si).str());
            BOOST_CHECK_EQUAL(mpz_int(a ^ si).str(), test_type(a1 ^ si).str());
            BOOST_CHECK_EQUAL((mpz_int(a) ^= si).str(), (test_type(a1) ^= si).str());
            BOOST_CHECK_EQUAL(mpz_int(si | a).str(), test_type(si | a1).str());
            BOOST_CHECK_EQUAL(mpz_int(si & a).str(), test_type(si & a1).str());
            BOOST_CHECK_EQUAL(mpz_int(si ^ a).str(), test_type(si ^ a1).str());
        }
        BOOST_CHECK_EQUAL(mpz_int(gcd(a, si)).str(), test_type(gcd(a1, si)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(si, b)).str(), test_type(gcd(si, b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(c, si)).str(), test_type(lcm(c1, si)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(si, d)).str(), test_type(lcm(si, d1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(-a, si)).str(), test_type(gcd(-a1, si)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(-si, b)).str(), test_type(gcd(-si, b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(-c, si)).str(), test_type(lcm(-c1, si)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(-si, d)).str(), test_type(lcm(-si, d1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(-a, -si)).str(), test_type(gcd(-a1, -si)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(-si, -b)).str(), test_type(gcd(-si, -b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(-c, -si)).str(), test_type(lcm(-c1, -si)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(-si, -d)).str(), test_type(lcm(-si, -d1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(a, -si)).str(), test_type(gcd(a1, -si)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(si, -b)).str(), test_type(gcd(si, -b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(c, -si)).str(), test_type(lcm(c1, -si)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(si, -d)).str(), test_type(lcm(si, -d1)).str());
    }

    void t4() {
        using namespace nil::crypto3::multiprecision;
        // Now check operations involving unsigned integers:
        BOOST_CHECK_EQUAL(mpz_int(a + ui).str(), test_type(a1 + ui).str());
        BOOST_CHECK_EQUAL(mpz_int(-a + ui).str(), test_type(-a1 + ui).str());
        BOOST_CHECK_EQUAL(mpz_int(ui + a).str(), test_type(ui + a1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) += ui).str(), (test_type(a1) += ui).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) += ui).str(), (test_type(-a1) += ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a - ui).str(), test_type(a1 - ui).str());
        BOOST_CHECK_EQUAL(mpz_int(-a - ui).str(), test_type(-a1 - ui).str());
        BOOST_CHECK_EQUAL(mpz_int(ui - a).str(), test_type(ui - a1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) -= ui).str(), (test_type(a1) -= ui).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) -= ui).str(), (test_type(-a1) -= ui).str());
        BOOST_CHECK_EQUAL(mpz_int(b * ui).str(), test_type(b1 * ui).str());
        BOOST_CHECK_EQUAL(mpz_int(-b * ui).str(), test_type(-b1 * ui).str());
        BOOST_CHECK_EQUAL(mpz_int(ui * b).str(), test_type(ui * b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) *= ui).str(), (test_type(a1) *= ui).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) *= ui).str(), (test_type(-a1) *= ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a / ui).str(), test_type(a1 / ui).str());
        BOOST_CHECK_EQUAL(mpz_int(-a / ui).str(), test_type(-a1 / ui).str());
        BOOST_CHECK_EQUAL((mpz_int(a) /= ui).str(), (test_type(a1) /= ui).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) /= ui).str(), (test_type(-a1) /= ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a % ui).str(), test_type(a1 % ui).str());
        BOOST_CHECK_EQUAL(mpz_int(-a % ui).str(), test_type(-a1 % ui).str());
        BOOST_CHECK_EQUAL((mpz_int(a) %= ui).str(), (test_type(a1) %= ui).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) %= ui).str(), (test_type(-a1) %= ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a | ui).str(), test_type(a1 | ui).str());
        BOOST_CHECK_EQUAL((mpz_int(a) |= ui).str(), (test_type(a1) |= ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a & ui).str(), test_type(a1 & ui).str());
        BOOST_CHECK_EQUAL((mpz_int(a) &= ui).str(), (test_type(a1) &= ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a ^ ui).str(), test_type(a1 ^ ui).str());
        BOOST_CHECK_EQUAL((mpz_int(a) ^= ui).str(), (test_type(a1) ^= ui).str());
        BOOST_CHECK_EQUAL(mpz_int(ui | a).str(), test_type(ui | a1).str());
        BOOST_CHECK_EQUAL(mpz_int(ui & a).str(), test_type(ui & a1).str());
        BOOST_CHECK_EQUAL(mpz_int(ui ^ a).str(), test_type(ui ^ a1).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(a, ui)).str(), test_type(gcd(a1, ui)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(ui, b)).str(), test_type(gcd(ui, b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(c, ui)).str(), test_type(lcm(c1, ui)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(ui, d)).str(), test_type(lcm(ui, d1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(-a, ui)).str(), test_type(gcd(-a1, ui)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(-c, ui)).str(), test_type(lcm(-c1, ui)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(ui, -b)).str(), test_type(gcd(ui, -b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(ui, -d)).str(), test_type(lcm(ui, -d1)).str());

        if (std::numeric_limits<test_type>::is_modulo && checked::value) {
            static mpz_int m = mpz_int(1) << std::numeric_limits<test_type>::digits;
            mpz_int t(a);
            test_type t1(a1);
            for (unsigned i = 0; i < 10; ++i) {
                t *= a;
                t %= m;
                t += a;
                t %= m;
                t1 *= a1;
                t1 += a1;
            }
            BOOST_CHECK_EQUAL(t.str(), t1.str());
        }
    }
    void t4_large() {
        using namespace nil::crypto3::multiprecision;
        // Now check operations involving unsigned integers:
        BOOST_CHECK_EQUAL(mpz_int(a + large_ui).str(), test_type(a1 + large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(-a + large_ui).str(), test_type(-a1 + large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(large_ui + a).str(), test_type(large_ui + a1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) += large_ui).str(), (test_type(a1) += large_ui).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) += large_ui).str(), (test_type(-a1) += large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a - large_ui).str(), test_type(a1 - large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(-a - large_ui).str(), test_type(-a1 - large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(large_ui - a).str(), test_type(large_ui - a1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) -= large_ui).str(), (test_type(a1) -= large_ui).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) -= large_ui).str(), (test_type(-a1) -= large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(b * large_ui).str(), test_type(b1 * large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(-b * large_ui).str(), test_type(-b1 * large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(large_ui * b).str(), test_type(large_ui * b1).str());
        BOOST_CHECK_EQUAL((mpz_int(a) *= large_ui).str(), (test_type(a1) *= large_ui).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) *= large_ui).str(), (test_type(-a1) *= large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a / large_ui).str(), test_type(a1 / large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(-a / large_ui).str(), test_type(-a1 / large_ui).str());
        BOOST_CHECK_EQUAL((mpz_int(a) /= large_ui).str(), (test_type(a1) /= large_ui).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) /= large_ui).str(), (test_type(-a1) /= large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a % large_ui).str(), test_type(a1 % large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(-a % large_ui).str(), test_type(-a1 % large_ui).str());
        BOOST_CHECK_EQUAL((mpz_int(a) %= large_ui).str(), (test_type(a1) %= large_ui).str());
        BOOST_CHECK_EQUAL((mpz_int(-a) %= large_ui).str(), (test_type(-a1) %= large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a | large_ui).str(), test_type(a1 | large_ui).str());
        BOOST_CHECK_EQUAL((mpz_int(a) |= large_ui).str(), (test_type(a1) |= large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a & large_ui).str(), test_type(a1 & large_ui).str());
        BOOST_CHECK_EQUAL((mpz_int(a) &= large_ui).str(), (test_type(a1) &= large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(a ^ large_ui).str(), test_type(a1 ^ large_ui).str());
        BOOST_CHECK_EQUAL((mpz_int(a) ^= large_ui).str(), (test_type(a1) ^= large_ui).str());
        BOOST_CHECK_EQUAL(mpz_int(large_ui | a).str(), test_type(large_ui | a1).str());
        BOOST_CHECK_EQUAL(mpz_int(large_ui & a).str(), test_type(large_ui & a1).str());
        BOOST_CHECK_EQUAL(mpz_int(large_ui ^ a).str(), test_type(large_ui ^ a1).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(a, large_ui)).str(), test_type(gcd(a1, large_ui)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(large_ui, b)).str(), test_type(gcd(large_ui, b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(c, large_ui)).str(), test_type(gcd(c1, large_ui)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(c, large_ui)).str(), test_type(lcm(c1, large_ui)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(large_ui, d)).str(), test_type(lcm(large_ui, d1)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(-a, large_ui)).str(), test_type(gcd(-a1, large_ui)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(-c, large_ui)).str(), test_type(lcm(-c1, large_ui)).str());
        BOOST_CHECK_EQUAL(mpz_int(gcd(large_ui, -b)).str(), test_type(gcd(large_ui, -b1)).str());
        BOOST_CHECK_EQUAL(mpz_int(lcm(large_ui, -d)).str(), test_type(lcm(large_ui, -d1)).str());
    }

    void t5() {
        using namespace nil::crypto3::multiprecision;
        //
        // Now integer functions:
        //
        mpz_int z1, z2;
        test_type t1, t2;
        divide_qr(a, b, z1, z2);
        divide_qr(a1, b1, t1, t2);
        BOOST_CHECK_EQUAL(z1.str(), t1.str());
        BOOST_CHECK_EQUAL(z2.str(), t2.str());
        BOOST_CHECK_EQUAL(integer_modulus(a, si), integer_modulus(a1, si));
        BOOST_CHECK_EQUAL(integer_modulus(a, ui), integer_modulus(a1, ui));
        BOOST_CHECK_EQUAL(mpz_int(integer_modulus(a, large_ui)).str(), test_type(integer_modulus(a1, large_ui)).str());
        BOOST_CHECK_EQUAL(lsb(a), lsb(a1));
        BOOST_CHECK_EQUAL(msb(a), msb(a1));

        for (unsigned i = 0; i < 1000; i += 13) {
            BOOST_CHECK_EQUAL(bit_test(a, i), bit_test(a1, i));
        }
        if (!std::numeric_limits<test_type>::is_modulo) {
            // We have to take care that our powers don't grow too large, otherwise this takes "forever",
            // also don't test for modulo types, as these may give a different result from arbitrary
            // precision types:
            BOOST_CHECK_EQUAL(mpz_int(pow(d, ui % 19)).str(), test_type(pow(d1, ui % 19)).str());
            BOOST_CHECK_EQUAL(mpz_int(powm(a, b, c)).str(), test_type(powm(a1, b1, c1)).str());
            BOOST_CHECK_EQUAL(mpz_int(powm(a, b, ui)).str(), test_type(powm(a1, b1, ui)).str());
            BOOST_CHECK_EQUAL(mpz_int(powm(a, ui, c)).str(), test_type(powm(a1, ui, c1)).str());
        }
        BOOST_CHECK_EQUAL(lsb(a), lsb(a1));
        BOOST_CHECK_EQUAL(msb(a), msb(a1));
    }

    static void test_bug_cases() {
        if (!std::numeric_limits<test_type>::is_bounded) {
            // https://svn.boost.org/trac/boost/ticket/7878
            test_type a("0x1000000000000000000000000000000000000000000000000000000000000000");
            test_type b = 0xFFFFFFFF;
            test_type c = a * b + b;    // quotient has 1 in the final place
            test_type q, r;
            divide_qr(c, b, q, r);
            BOOST_CHECK_EQUAL(a + 1, q);
            BOOST_CHECK_EQUAL(r, 0);

            b = static_cast<test_type>("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
            c = a * b + b;    // quotient has 1 in the final place
            divide_qr(c, b, q, r);
            BOOST_CHECK_EQUAL(a + 1, q);
            BOOST_CHECK_EQUAL(r, 0);
            //
            // Not a bug, but test some other special cases that don't otherwise occur through
            // random testing:
            //
            c = a * b;    // quotient has zero in the final place
            divide_qr(c, b, q, r);
            BOOST_CHECK_EQUAL(q, a);
            BOOST_CHECK_EQUAL(r, 0);
            divide_qr(c, a, q, r);
            BOOST_CHECK_EQUAL(q, b);
            BOOST_CHECK_EQUAL(r, 0);
            ++c;
            divide_qr(c, b, q, r);
            BOOST_CHECK_EQUAL(q, a);
            BOOST_CHECK_EQUAL(r, 1);
        }
        // Bug https://svn.boost.org/trac/boost/ticket/8126:
        test_type a("-4294967296");
        test_type b("4294967296");
        test_type c("-1");
        a = (a / b);
        BOOST_CHECK_EQUAL(a, -1);
        a = -4294967296;
        a = (a / b) * c;
        BOOST_CHECK_EQUAL(a, 1);
        a = -23;
        b = 23;
        a = (a / b) * c;
        BOOST_CHECK_EQUAL(a, 1);
        a = -23;
        a = (a / b) / c;
        BOOST_CHECK_EQUAL(a, 1);
        a = test_type("-26607734784073568386365259775");
        b = test_type("8589934592");
        a = a / b;
        BOOST_CHECK_EQUAL(a, test_type("-3097548007973652377"));
        // Bug https://svn.boost.org/trac/boost/ticket/8133:
        a = test_type("0x12345600012434ffffffffffffffffffffffff");
        unsigned ui = 0xffffffff;
        a = a - ui;
        BOOST_CHECK_EQUAL(a, test_type("0x12345600012434ffffffffffffffff00000000"));
        a = test_type("0x12345600012434ffffffffffffffffffffffff");
#ifndef BOOST_NO_LONG_LONG
        unsigned long long ull = 0xffffffffffffffffuLL;
        a = a - ull;
        BOOST_CHECK_EQUAL(a, test_type("0x12345600012434ffffffff0000000000000000"));
#endif
        //
        // Now check that things which should be zero really are
        // https://svn.boost.org/trac/boost/ticket/8145:
        //
        a = -1;
        a += 1;
        BOOST_CHECK_EQUAL(a, 0);
        a = 1;
        a += -1;
        BOOST_CHECK_EQUAL(a, 0);
        a = -1;
        a += test_type(1);
        BOOST_CHECK_EQUAL(a, 0);
        a = 1;
        a += test_type(-1);
        BOOST_CHECK_EQUAL(a, 0);
        a = test_type("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
        a -= test_type("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
        BOOST_CHECK_EQUAL(a, 0);
        a = -test_type("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
        a += test_type("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
        BOOST_CHECK_EQUAL(a, 0);
        a = 2;
        a *= 0;
        BOOST_CHECK_EQUAL(a, 0);
        a = -2;
        a *= 0;
        BOOST_CHECK_EQUAL(a, 0);
        a = 2;
        a *= test_type(0);
        BOOST_CHECK_EQUAL(a, 0);
        a = -2;
        a *= test_type(0);
        BOOST_CHECK_EQUAL(a, 0);
        a = -2;
        a /= 50;
        BOOST_CHECK_EQUAL(a, 0);
        a = -test_type("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
        a /= (1 + test_type("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"));
        BOOST_CHECK_EQUAL(a, 0);
        // https://svn.boost.org/trac/boost/ticket/8160
        a = 1;
        a = 0 / test_type(1);
        BOOST_CHECK_EQUAL(a, 0);
        a = 1;
        a = 0 % test_type(25);
        BOOST_CHECK_EQUAL(a, 0);
#if !defined(TEST2) && !defined(TEST6)
        // https://svn.boost.org/trac/boost/ticket/11364
        a = 0xfffffffeu;
        b = -2;
        c = a ^ b;
        test_type d = ~(a ^ ~b);
        BOOST_CHECK_EQUAL(c, d);
#endif
#if defined(TEST2) || defined(TEST3) || defined(TEST6)
        // https://svn.boost.org/trac/boost/ticket/11648
        a = (std::numeric_limits<test_type>::max)() - 69;
        b = a / 139;
        ++b;
        c = a / b;
        test_type r = a % b;
        BOOST_CHECK(r < b);
        BOOST_CHECK_EQUAL(a - c * b, r);
#endif
        for (ui = 0; ui < 1000; ++ui) {
            nil::crypto3::multiprecision::mpz_int t;
            nil::crypto3::multiprecision::mpz_int s1 = sqrt(nil::crypto3::multiprecision::mpz_int(ui), t);
            a = sqrt(test_type(ui), b);
            BOOST_CHECK_EQUAL(a.str(), s1.str());
            BOOST_CHECK_EQUAL(b.str(), t.str());
            a = sqrt(test_type(ui) + test_type(0));
            BOOST_CHECK_EQUAL(a.str(), s1.str());
            a = sqrt(test_type(ui) * test_type(1));
            BOOST_CHECK_EQUAL(a.str(), s1.str());
            a = sqrt(test_type(ui) * 1, b);
            BOOST_CHECK_EQUAL(a.str(), s1.str());
            BOOST_CHECK_EQUAL(b.str(), t.str());
        }
        a = -1;
        ++a;
        BOOST_CHECK_EQUAL(a, 0);
        ++--a;
        BOOST_CHECK_EQUAL(a, 0);
        --++a;
        BOOST_CHECK_EQUAL(a, 0);

        {
            typedef nil::crypto3::multiprecision::number<nil::crypto3::multiprecision::cpp_int_backend<>> bigint;
            // typedef nil::crypto3::multiprecision::number<nil::crypto3::multiprecision::cpp_int_backend<64, 64,
            // nil::crypto3::multiprecision::unsigned_magnitude, nil::crypto3::multiprecision::unchecked, void> >   u64;
            // typedef nil::crypto3::multiprecision::number<nil::crypto3::multiprecision::cpp_int_backend<128, 128,
            // nil::crypto3::multiprecision::unsigned_magnitude, nil::crypto3::multiprecision::unchecked, void> > u128;
            typedef nil::crypto3::multiprecision::number<nil::crypto3::multiprecision::cpp_int_backend<
                256, 256, nil::crypto3::multiprecision::unsigned_magnitude, nil::crypto3::multiprecision::unchecked,
                void>>
                u256;
            typedef nil::crypto3::multiprecision::number<
                nil::crypto3::multiprecision::cpp_int_backend<256, 256, nil::crypto3::multiprecision::signed_magnitude,
                                                              nil::crypto3::multiprecision::unchecked, void>>
                s256;
            // typedef nil::crypto3::multiprecision::number<nil::crypto3::multiprecision::cpp_int_backend<160, 160,
            // nil::crypto3::multiprecision::unsigned_magnitude, nil::crypto3::multiprecision::unchecked, void> > u160;
            // typedef nil::crypto3::multiprecision::number<nil::crypto3::multiprecision::cpp_int_backend<160, 160,
            // nil::crypto3::multiprecision::signed_magnitude, nil::crypto3::multiprecision::unchecked, void> >   s160;
            // typedef nil::crypto3::multiprecision::number<nil::crypto3::multiprecision::cpp_int_backend<512, 512,
            // nil::crypto3::multiprecision::unsigned_magnitude, nil::crypto3::multiprecision::unchecked, void> > u512;
            // typedef nil::crypto3::multiprecision::number<nil::crypto3::multiprecision::cpp_int_backend<512, 512,
            // nil::crypto3::multiprecision::signed_magnitude, nil::crypto3::multiprecision::unchecked, void> >   s512;

            {
                u256 a = 14;
                bigint b = bigint("115792089237316195423570985008687907853269984665640564039457584007913129639948");
                // to fix cast `a` to dev::bigint
                BOOST_CHECK(a < b);
            }
            {
                u256 a = 1;
                boost::uint64_t amount = 1;
                u256 b = a << amount;
                BOOST_CHECK_EQUAL(b, 2);

                u256 high_bit = u256(0);
                bit_set(high_bit, 255);
                BOOST_CHECK_EQUAL(a << 255, high_bit);
                BOOST_CHECK_EQUAL(a << boost::uint64_t(256), 0);
                BOOST_CHECK_EQUAL(a << 0, a);

                u256 c = 3;
                BOOST_CHECK_EQUAL(c, 3);
                BOOST_CHECK_EQUAL(c << boost::uint64_t(256), 0);
                BOOST_CHECK_EQUAL(c << 0, c);

                // Bug workaround:
                BOOST_CHECK_EQUAL(static_cast<u256>(bigint(u256(3)) << 255), u256(1) << 255);
            }
            {
                BOOST_CHECK_EQUAL(u256(3) << 255, u256(1) << 255);

                u256 a = 1;
                boost::uint64_t amount = 1;
                u256 b = a >> amount;
                BOOST_CHECK_EQUAL(b, 0);
                BOOST_CHECK_EQUAL(a >> 255, 0);
                BOOST_CHECK_EQUAL(a >> boost::uint64_t(256), 0);
                BOOST_CHECK_EQUAL(a >> boost::uint64_t(-1), 0);

                u256 h;
                bit_set(h, 255);
                BOOST_CHECK_EQUAL(h >> 0, u256(1) << 255);
                BOOST_CHECK_EQUAL(h >> 1, u256(1) << 254);
                BOOST_CHECK_EQUAL(h >> 2, u256(1) << 253);
                BOOST_CHECK_EQUAL(h >> 254, u256(1) << 1);
                BOOST_CHECK_EQUAL(h >> 255, u256(1) << 0);
                BOOST_CHECK_EQUAL(h >> 256, 0);
                BOOST_CHECK_EQUAL(h >> boost::uint64_t(-1), 0);

                u256 g;
                bit_set(g, 255);
                bit_set(g, 254);
                BOOST_CHECK_EQUAL(g >> 255, 1);
                BOOST_CHECK_EQUAL(g >> 254, 3);
                BOOST_CHECK_EQUAL(g >> 253, 3 << 1);
                BOOST_CHECK_EQUAL(g >> 252, 3 << 2);
                BOOST_CHECK_EQUAL(g >> 251, 3 << 3);
                BOOST_CHECK_EQUAL(g >> 0, u256(3) << 254);
                BOOST_CHECK_EQUAL(g >> 1, u256(3) << 253);
                BOOST_CHECK_EQUAL(g >> 2, u256(3) << 252);
                BOOST_CHECK_EQUAL(g >> 3, u256(3) << 251);
                BOOST_CHECK_EQUAL(g >> 100, u256(3) << 154);
                BOOST_CHECK_EQUAL(g >> 256, 0);
                BOOST_CHECK_EQUAL(g >> 257, 0);
                BOOST_CHECK_EQUAL(g >> boost::uint32_t(-1), 0);
                BOOST_CHECK_EQUAL(g >> boost::uint64_t(-1), 0);
                BOOST_CHECK_EQUAL(g >> boost::uint16_t(-1), 0);
                BOOST_CHECK_EQUAL(g >> (boost::uint16_t(-1) - 1), 0);
            }
            {
                s256 a = 1;
                uint64_t amount = 1;
                s256 b = a >> amount;
                BOOST_CHECK_EQUAL(b, 0);
                BOOST_CHECK_EQUAL(a >> 255, 0);
                BOOST_CHECK_EQUAL(a >> boost::uint64_t(256), 0);
                BOOST_CHECK_EQUAL(a >> boost::uint64_t(-1), 0);

                s256 n = -1;
                BOOST_CHECK_EQUAL(n >> 0, n);
                BOOST_CHECK_EQUAL(n >> 1, n);
                BOOST_CHECK_EQUAL(n >> 2, n);
                BOOST_CHECK_EQUAL(n >> 254, n);
                BOOST_CHECK_EQUAL(n >> 255, n);
                BOOST_CHECK_EQUAL(n >> 256, n);
                BOOST_CHECK_EQUAL(n >> 257, n);
                BOOST_CHECK_EQUAL(n >> ~boost::uint64_t(0), n);

                // Test min value. This actually -(2^256-1), not -(2^255) as in C.
                s256 h = (std::numeric_limits<s256>::min)();
                BOOST_CHECK_LT(h, 0);
                BOOST_CHECK_EQUAL(h >> 0, h);
                BOOST_CHECK_EQUAL(h >> 256, -1);

                // Test EVM min value.
                s256 g = s256(-1) << 255;
                BOOST_CHECK_LT(g, 0);
                BOOST_CHECK_EQUAL(static_cast<u256>(g), u256(1) << 255);
                BOOST_CHECK_EQUAL(g >> 0, g);
                BOOST_CHECK_EQUAL(static_cast<u256>(g >> 1), u256(0b11) << 254);
                BOOST_CHECK_EQUAL(static_cast<u256>(g >> 2), u256(0b111) << 253);
                BOOST_CHECK_EQUAL(static_cast<u256>(g >> 3), u256(0b1111) << 252);

                BOOST_CHECK_EQUAL(static_cast<u256>(g >> 255), ~u256(0));
                BOOST_CHECK_EQUAL(static_cast<u256>(g >> 254), ~u256(0b1));
                BOOST_CHECK_EQUAL(static_cast<u256>(g >> 253), ~u256(0b11));

                // Test shifting more that one bit.
                s256 k = s256(0b111) << 252;
                BOOST_CHECK_EQUAL(k, u256(0b111) << 252);
                BOOST_CHECK_EQUAL(k >> 1, u256(0b111) << 251);
                BOOST_CHECK_EQUAL(k >> 2, u256(0b111) << 250);
                BOOST_CHECK_EQUAL(k >> 252, 0b111);
                BOOST_CHECK_EQUAL(k >> 253, 0b11);
                BOOST_CHECK_EQUAL(k >> 254, 0b1);
                BOOST_CHECK_EQUAL(k >> 255, 0);
                BOOST_CHECK_EQUAL(k >> 256, 0);
                BOOST_CHECK_EQUAL(k >> ~boost::uint32_t(0), 0);

                // Division equivalence.

                // Built-in type:
                if (std::numeric_limits<boost::int64_t>::is_specialized) {
                    boost::int64_t d = (std::numeric_limits<boost::int64_t>::min)();
                    BOOST_CHECK_EQUAL(d >> 1, d / 2);
                    int64_t e = d + 1;
                    BOOST_CHECK_EQUAL(e >> 1, e / 2 - 1);

                    // Boost type:
                    BOOST_CHECK_EQUAL(h >> 1, h / 2 - 1);
                }
            }
        }
    }

    void test() {
        using namespace nil::crypto3::multiprecision;

        test_bug_cases();

        last_error_count = 0;

        BOOST_CHECK_EQUAL(Number(), 0);

        for (int i = 0; i < 10000; ++i) {
            a = generate_random<mpz_int>(1000);
            b = generate_random<mpz_int>(512);
            c = generate_random<mpz_int>(256);
            d = generate_random<mpz_int>(32);

            si = d.convert_to<int>();
            ui = si;
            large_ui = c.convert_to<nil::crypto3::multiprecision::double_limb_type>();

            a1 = static_cast<test_type>(a.str());
            b1 = static_cast<test_type>(b.str());
            c1 = static_cast<test_type>(c.str());
            d1 = static_cast<test_type>(d.str());

            t1();
            t2();
#ifndef SLOW_COMPILER
            t3();
            t4();
            t4_large();
            t5();
#endif

            if (last_error_count != (unsigned)boost::detail::test_errors()) {
                last_error_count = boost::detail::test_errors();
                std::cout << std::hex << std::showbase;

                std::cout << "a    = " << a << std::endl;
                std::cout << "a1   = " << a1 << std::endl;
                std::cout << "b    = " << b << std::endl;
                std::cout << "b1   = " << b1 << std::endl;
                std::cout << "c    = " << c << std::endl;
                std::cout << "c1   = " << c1 << std::endl;
                std::cout << "d    = " << d << std::endl;
                std::cout << "d1   = " << d1 << std::endl;
                std::cout << "a + b   = " << a + b << std::endl;
                std::cout << "a1 + b1 = " << a1 + b1 << std::endl;
                std::cout << std::dec;
                std::cout << "a - b   = " << a - b << std::endl;
                std::cout << "a1 - b1 = " << a1 - b1 << std::endl;
                std::cout << "-a + b   = " << mpz_int(-a) + b << std::endl;
                std::cout << "-a1 + b1 = " << test_type(-a1) + b1 << std::endl;
                std::cout << "-a - b   = " << mpz_int(-a) - b << std::endl;
                std::cout << "-a1 - b1 = " << test_type(-a1) - b1 << std::endl;
                std::cout << "c*d    = " << c * d << std::endl;
                std::cout << "c1*d1  = " << c1 * d1 << std::endl;
                std::cout << "b*c    = " << b * c << std::endl;
                std::cout << "b1*c1  = " << b1 * c1 << std::endl;
                std::cout << "a/b    = " << a / b << std::endl;
                std::cout << "a1/b1  = " << a1 / b1 << std::endl;
                std::cout << "a/d    = " << a / d << std::endl;
                std::cout << "a1/d1  = " << a1 / d1 << std::endl;
                std::cout << "a%b    = " << a % b << std::endl;
                std::cout << "a1%b1  = " << a1 % b1 << std::endl;
                std::cout << "a%d    = " << a % d << std::endl;
                std::cout << "a1%d1  = " << a1 % d1 << std::endl;
            }

            //
            // Check to see if test is taking too long.
            // Tests run on the compiler farm time out after 300 seconds,
            // so don't get too close to that:
            //
#ifndef CI_SUPPRESS_KNOWN_ISSUES
            if (tim.elapsed() > 200)
#else
            if (tim.elapsed() > 25)
#endif
            {
                std::cout << "Timeout reached, aborting tests now....\n";
                break;
            }
        }
    }
};

int main() {
    using namespace nil::crypto3::multiprecision;

#ifdef TEST1
    tester<cpp_int> t1;
    t1.test();
#endif
#ifdef TEST2
    tester<number<cpp_int_backend<2048, 2048, signed_magnitude, checked, void>>> t2;
    t2.test();
#endif
#ifdef TEST3
    // Unchecked test verifies modulo arithmetic:
    tester<number<cpp_int_backend<2048, 2048, signed_magnitude, unchecked, void>>> t3;
    t3.test();
#endif
#ifdef TEST4
    tester<number<cpp_int_backend<0, 2048, signed_magnitude, unchecked, std::allocator<char>>>> t4;
    t4.test();
#endif
#ifdef TEST5
    tester<number<cpp_int_backend<0, 2048, signed_magnitude, unchecked>>> t5;
    t5.test();
#endif
#ifdef TEST6
    tester<number<cpp_int_backend<2048, 2048, signed_magnitude, checked, void>>> t6;
    t6.test();
#endif
    return boost::report_errors();
}
